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Finding the Fourth Proportional to 12,385.78, 18,546.94 and 6,832.96

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Solution

The fourth proportional to 12,385.78, 18,546.94 and 6,832.96 is: 10,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.78 : 18,546.94 = 6,832.96 : x
  2. Step 2: Convert to fraction form
    12,385.78/18,546.94 = 6,832.96/x
  3. Step 3: Cross multiply
    12,385.78x = 18,546.94 × 6,832.96
  4. Step 4: Simplify right side
    12,385.78x = 126,730,461.32
  5. Step 5: Solve for x
    x = 126,730,461.32/12,385.78
  6. Step 6: Final answer
    x = 10,231.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.